GCD of 676, 436, 489, 629 Calculator

Given Input numbers are 676, 436, 489, 629

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 676, 436, 489, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 436, 489, 629 is 1.

Therefore, GCD of numbers 676, 436, 489, 629 is 1

Given Input Data is 676, 436, 489, 629

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 489 is 3 x 163

Prime Factorization of 629 is 17 x 37

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(676, 436) = 73684

GCD(676, 436) = ( 676 x 436 ) / 73684

GCD(676, 436) = 294736 / 73684

GCD(676, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 489

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 489) = 1956

GCD(4, 489) = ( 4 x 489 ) / 1956

GCD(4, 489) = 1956 / 1956

GCD(4, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 676, 436, 489, 629 is 1

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1. What is the GCD of 676, 436, 489, 629?

GCD of 676, 436, 489, 629 is 1

2. Where do I get the detailed procedure to find GCD of 676, 436, 489, 629?

You can find a detailed procedure to find GCD of 676, 436, 489, 629 on our page.

3. How to find GCD of 676, 436, 489, 629 on a calculator?

You can find the GCD of 676, 436, 489, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.